2p-5=8p+13

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Solution for 2p-5=8p+13 equation:


Simplifying
2p + -5 = 8p + 13

Reorder the terms:
-5 + 2p = 8p + 13

Reorder the terms:
-5 + 2p = 13 + 8p

Solving
-5 + 2p = 13 + 8p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-8p' to each side of the equation.
-5 + 2p + -8p = 13 + 8p + -8p

Combine like terms: 2p + -8p = -6p
-5 + -6p = 13 + 8p + -8p

Combine like terms: 8p + -8p = 0
-5 + -6p = 13 + 0
-5 + -6p = 13

Add '5' to each side of the equation.
-5 + 5 + -6p = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -6p = 13 + 5
-6p = 13 + 5

Combine like terms: 13 + 5 = 18
-6p = 18

Divide each side by '-6'.
p = -3

Simplifying
p = -3

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